if x=3+√8then find the value of x^2+1/x^2
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Step-by-step explanation:
x=3+√8
x²+1/x²
=(3+√8)²+1/(3+√8)²
=(9+6√8+8)+1/(9+6√8+8)
=(17+6√8)+1/(17+6√8)
=[(17+6√8)²+1]/(17+6√8)
=(289+204√8+288+1)/(17+6√8)
=(578+204√8)/(17+6√8)
=(578+204√8)(17-6√8)/(17+6√8)(17-6√8)
=(578+204√8)(17-6√8)/288
=(289+102√8)(17-6√8)/144
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